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Finding the Fourth Proportional to 941.30, 1,411.17 and 838.80

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Solution

The fourth proportional to 941.30, 1,411.17 and 838.80 is: 1,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.30 : 1,411.17 = 838.80 : x
  2. Step 2: Convert to fraction form
    941.30/1,411.17 = 838.80/x
  3. Step 3: Cross multiply
    941.30x = 1,411.17 × 838.80
  4. Step 4: Simplify right side
    941.30x = 1,183,689.40
  5. Step 5: Solve for x
    x = 1,183,689.40/941.30
  6. Step 6: Final answer
    x = 1,257.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.